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10264567427 is a prime number
BaseRepresentation
bin10011000111101000…
…01101111010000011
3222111100121001101222
421203310031322003
5132010212124202
64414313145255
7512236245362
oct114364157203
928440531358
1010264567427
114398098484
121ba56bb22b
13c7776064a
146d53517d9
1540121d4a2
hex263d0de83

10264567427 has 2 divisors, whose sum is σ = 10264567428. Its totient is φ = 10264567426.

The previous prime is 10264567403. The next prime is 10264567447. The reversal of 10264567427 is 72476546201.

It is a happy number.

10264567427 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 10264567427 - 230 = 9190825603 is a prime.

It is a super-3 number, since 3×102645674273 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (10264567447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5132283713 + 5132283714.

It is an arithmetic number, because the mean of its divisors is an integer number (5132283714).

Almost surely, 210264567427 is an apocalyptic number.

10264567427 is a deficient number, since it is larger than the sum of its proper divisors (1).

10264567427 is an equidigital number, since it uses as much as digits as its factorization.

10264567427 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 564480, while the sum is 44.

The spelling of 10264567427 in words is "ten billion, two hundred sixty-four million, five hundred sixty-seven thousand, four hundred twenty-seven".